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Logical measurement-based quantum computation in circuit-QED.

Jaewoo Joo1,2, Chang-Woo Lee3,4, Shingo Kono5

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We introduce a novel measurement-based quantum computation (MBQC) scheme using error correction for photon-loss in superconducting circuits. This method enables scalable, fault-tolerant quantum computing by creating logical qubits from qudits.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Circuit Quantum Electrodynamics

Background:

  • Photon-loss is a major challenge in quantum computation, limiting scalability and fidelity.
  • Measurement-Based Quantum Computation (MBQC) offers an alternative paradigm to gate-based quantum computing.
  • Circuit Quantum Electrodynamics (cQED) provides a robust platform for implementing quantum computations.

Purpose of the Study:

  • To propose a new MBQC scheme resilient to photon-loss in cQED systems.
  • To develop a protocol for logical single-qubit gates using sequential cavity measurements.
  • To explore the creation of continuous-variable (CV) logical qubits using qudits and entangled states.

Main Methods:

  • Utilizing a d-dimensional quantum system (qudit) for error correction on CV logical qubits.
  • Preparing and manipulating three CV-qudit entangled states in jointed microwave cavities.
  • Employing a readout resonator coupled to an ancillary superconducting qubit for individual qudit control and measurement.
  • Investigating the creation of CV-qudit cluster states via cross-Kerr interaction mediated by superconducting qubits.

Main Results:

  • A specific protocol for logical single-qubit gates in MBQC is described.
  • A method for creating CV-qudit cluster states using superconducting qubits and Jaynes-Cummings Hamiltonian is examined.
  • The proposed scheme demonstrates a pathway towards scalable 2D logical cluster states.

Conclusions:

  • The developed MBQC scheme offers a promising approach for fault-tolerant quantum computing in superconducting circuits.
  • This work paves the way for scalable quantum computation by addressing photon-loss errors.
  • The utilization of qudits and cluster states in cQED represents a significant advancement in quantum information processing.